Representing Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in different forms such as fractions, decimals, or with a colon (e.g., 3:4).

Front

How do you write a ratio in simplest form?

Back

To write a ratio in simplest form, divide both quantities by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3 by dividing both numbers by 4.

Front

What does it mean to represent a ratio?

Back

Representing a ratio means showing the relationship between two quantities visually or numerically, such as using a fraction, a colon, or a part-to-whole comparison.

Front

How can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 1/2), with a colon (e.g., 1:2), or in words (e.g., '1 to 2').

Front

What is the ratio of 5 apples to 10 oranges?

Back

The ratio of 5 apples to 10 oranges is 1:2 when simplified.

Front

If there are 3 turtles and 10 frogs, what is the ratio of turtles to frogs?

Back

The ratio of turtles to frogs is 3:10.

Front

How do you find the total number of parts in a ratio?

Back

To find the total number of parts in a ratio, add the quantities together. For example, in the ratio 3:5, the total number of parts is 3 + 5 = 8.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of a group to the entire group. For example, if there are 3 red balls and 7 total balls, the part-to-whole ratio of red balls is 3:7.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, place the first quantity over the second quantity. For example, the ratio 4:5 can be written as the fraction 4/5.

Front

What is the ratio of pennies to quarters if there are 5 pennies and 11 quarters?

Back

The ratio of pennies to quarters is 5:11.